Eigenvalues of the sum and product of anticommuting matrices

Vadim Ponomarenko; Louis Selstad

doi:10.2140/involve.2020.13.625

Abstract

Improving on a recent result of Zhong, we characterize the eigenvalues of $A B$ and $A + B$ for square matrices $A$ , $B$ satisfying $A B + B A = 0$ .

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Vadim Ponomarenko. Louis Selstad. "Eigenvalues of the sum and product of anticommuting matrices." Involve 13 (4) 625 - 632, 2020. https://doi.org/10.2140/involve.2020.13.625

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Received: 18 February 2020; Revised: 1 June 2020; Accepted: 2 June 2020; Published: 2020

First available in Project Euclid: 22 December 2020

MathSciNet: MR4190428

Digital Object Identifier: 10.2140/involve.2020.13.625

Subjects:

Primary: 15A18‎

Keywords: anticommutative , Eigenvalues , matrix spectrum

Abstract

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